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Finding the Third Proportional to 52,929 and 84,253.50

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Solution

The third proportional to 52,929 and 84,253.50 is: 134,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,929 : 84,253.50 = 84,253.50 : x
  2. Step 2: Convert to fraction form
    52,929/84,253.50 = 84,253.50/x
  3. Step 3: Cross multiply
    52,929x = 84,253.50 × 84,253.50
  4. Step 4: Simplify right side
    52,929x = 7,098,652,262.25
  5. Step 5: Solve for x
    x = 7,098,652,262.25/52,929
  6. Step 6: Final answer
    x = 134,116.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.