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Finding the Third Proportional to 71,451 and 110,875.50

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Solution

The third proportional to 71,451 and 110,875.50 is: 172,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,451 : 110,875.50 = 110,875.50 : x
  2. Step 2: Convert to fraction form
    71,451/110,875.50 = 110,875.50/x
  3. Step 3: Cross multiply
    71,451x = 110,875.50 × 110,875.50
  4. Step 4: Simplify right side
    71,451x = 12,293,376,500.25
  5. Step 5: Solve for x
    x = 12,293,376,500.25/71,451
  6. Step 6: Final answer
    x = 172,053.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.