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Finding the Third Proportional to 127,985.06 and 172,293.33

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Solution

The third proportional to 127,985.06 and 172,293.33 is: 231,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,985.06 : 172,293.33 = 172,293.33 : x
  2. Step 2: Convert to fraction form
    127,985.06/172,293.33 = 172,293.33/x
  3. Step 3: Cross multiply
    127,985.06x = 172,293.33 × 172,293.33
  4. Step 4: Simplify right side
    127,985.06x = 29,684,990,916.39
  5. Step 5: Solve for x
    x = 29,684,990,916.39/127,985.06
  6. Step 6: Final answer
    x = 231,941.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.