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Finding the Third Proportional to 61,298 and 93,729

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Solution

The third proportional to 61,298 and 93,729 is: 143,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,298 : 93,729 = 93,729 : x
  2. Step 2: Convert to fraction form
    61,298/93,729 = 93,729/x
  3. Step 3: Cross multiply
    61,298x = 93,729 × 93,729
  4. Step 4: Simplify right side
    61,298x = 8,785,125,441
  5. Step 5: Solve for x
    x = 8,785,125,441/61,298
  6. Step 6: Final answer
    x = 143,318.30

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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.