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Finding the Third Proportional to 61,029 and 142,582.50

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Solution

The third proportional to 61,029 and 142,582.50 is: 333,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,029 : 142,582.50 = 142,582.50 : x
  2. Step 2: Convert to fraction form
    61,029/142,582.50 = 142,582.50/x
  3. Step 3: Cross multiply
    61,029x = 142,582.50 × 142,582.50
  4. Step 4: Simplify right side
    61,029x = 20,329,769,306.25
  5. Step 5: Solve for x
    x = 20,329,769,306.25/61,029
  6. Step 6: Final answer
    x = 333,116.54

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.