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Finding the Third Proportional to 61,416 and 93,898

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Solution

The third proportional to 61,416 and 93,898 is: 143,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,416 : 93,898 = 93,898 : x
  2. Step 2: Convert to fraction form
    61,416/93,898 = 93,898/x
  3. Step 3: Cross multiply
    61,416x = 93,898 × 93,898
  4. Step 4: Simplify right side
    61,416x = 8,816,834,404
  5. Step 5: Solve for x
    x = 8,816,834,404/61,416
  6. Step 6: Final answer
    x = 143,559.24

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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.