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Finding the Third Proportional to 65,160.56 and 142,776

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Solution

The third proportional to 65,160.56 and 142,776 is: 312,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,160.56 : 142,776 = 142,776 : x
  2. Step 2: Convert to fraction form
    65,160.56/142,776 = 142,776/x
  3. Step 3: Cross multiply
    65,160.56x = 142,776 × 142,776
  4. Step 4: Simplify right side
    65,160.56x = 20,384,986,176
  5. Step 5: Solve for x
    x = 20,384,986,176/65,160.56
  6. Step 6: Final answer
    x = 312,842.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.