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Finding the Third Proportional to 60,613.50 and 132,513

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Solution

The third proportional to 60,613.50 and 132,513 is: 289,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,613.50 : 132,513 = 132,513 : x
  2. Step 2: Convert to fraction form
    60,613.50/132,513 = 132,513/x
  3. Step 3: Cross multiply
    60,613.50x = 132,513 × 132,513
  4. Step 4: Simplify right side
    60,613.50x = 17,559,695,169
  5. Step 5: Solve for x
    x = 17,559,695,169/60,613.50
  6. Step 6: Final answer
    x = 289,699.41

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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.