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Finding the Third Proportional to 63,924 and 95,521.50

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Solution

The third proportional to 63,924 and 95,521.50 is: 142,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,924 : 95,521.50 = 95,521.50 : x
  2. Step 2: Convert to fraction form
    63,924/95,521.50 = 95,521.50/x
  3. Step 3: Cross multiply
    63,924x = 95,521.50 × 95,521.50
  4. Step 4: Simplify right side
    63,924x = 9,124,356,962.25
  5. Step 5: Solve for x
    x = 9,124,356,962.25/63,924
  6. Step 6: Final answer
    x = 142,737.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.