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Finding the Third Proportional to 63,042 and 136,582.50

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Solution

The third proportional to 63,042 and 136,582.50 is: 295,910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,042 : 136,582.50 = 136,582.50 : x
  2. Step 2: Convert to fraction form
    63,042/136,582.50 = 136,582.50/x
  3. Step 3: Cross multiply
    63,042x = 136,582.50 × 136,582.50
  4. Step 4: Simplify right side
    63,042x = 18,654,779,306.25
  5. Step 5: Solve for x
    x = 18,654,779,306.25/63,042
  6. Step 6: Final answer
    x = 295,910.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.