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Finding the Third Proportional to 89,160.19 and 138,501.31

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Solution

The third proportional to 89,160.19 and 138,501.31 is: 215,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,160.19 : 138,501.31 = 138,501.31 : x
  2. Step 2: Convert to fraction form
    89,160.19/138,501.31 = 138,501.31/x
  3. Step 3: Cross multiply
    89,160.19x = 138,501.31 × 138,501.31
  4. Step 4: Simplify right side
    89,160.19x = 19,182,613,564.22
  5. Step 5: Solve for x
    x = 19,182,613,564.22/89,160.19
  6. Step 6: Final answer
    x = 215,147.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.