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Finding the Third Proportional to 92,525.63 and 138,412.13

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Solution

The third proportional to 92,525.63 and 138,412.13 is: 207,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,525.63 : 138,412.13 = 138,412.13 : x
  2. Step 2: Convert to fraction form
    92,525.63/138,412.13 = 138,412.13/x
  3. Step 3: Cross multiply
    92,525.63x = 138,412.13 × 138,412.13
  4. Step 4: Simplify right side
    92,525.63x = 19,157,916,347.02
  5. Step 5: Solve for x
    x = 19,157,916,347.02/92,525.63
  6. Step 6: Final answer
    x = 207,055.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.