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Finding the Third Proportional to 72,051.75 and 115,104.25

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Solution

The third proportional to 72,051.75 and 115,104.25 is: 183,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,051.75 : 115,104.25 = 115,104.25 : x
  2. Step 2: Convert to fraction form
    72,051.75/115,104.25 = 115,104.25/x
  3. Step 3: Cross multiply
    72,051.75x = 115,104.25 × 115,104.25
  4. Step 4: Simplify right side
    72,051.75x = 13,248,988,368.06
  5. Step 5: Solve for x
    x = 13,248,988,368.06/72,051.75
  6. Step 6: Final answer
    x = 183,881.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.