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Finding the Third Proportional to 61,132 and 93,513

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Solution

The third proportional to 61,132 and 93,513 is: 143,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,132 : 93,513 = 93,513 : x
  2. Step 2: Convert to fraction form
    61,132/93,513 = 93,513/x
  3. Step 3: Cross multiply
    61,132x = 93,513 × 93,513
  4. Step 4: Simplify right side
    61,132x = 8,744,681,169
  5. Step 5: Solve for x
    x = 8,744,681,169/61,132
  6. Step 6: Final answer
    x = 143,045.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.