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Finding the Third Proportional to 62,114 and 93,459

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Solution

The third proportional to 62,114 and 93,459 is: 140,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,114 : 93,459 = 93,459 : x
  2. Step 2: Convert to fraction form
    62,114/93,459 = 93,459/x
  3. Step 3: Cross multiply
    62,114x = 93,459 × 93,459
  4. Step 4: Simplify right side
    62,114x = 8,734,584,681
  5. Step 5: Solve for x
    x = 8,734,584,681/62,114
  6. Step 6: Final answer
    x = 140,621.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.