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Finding the Third Proportional to 71,953 and 112,637.50

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Solution

The third proportional to 71,953 and 112,637.50 is: 176,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,953 : 112,637.50 = 112,637.50 : x
  2. Step 2: Convert to fraction form
    71,953/112,637.50 = 112,637.50/x
  3. Step 3: Cross multiply
    71,953x = 112,637.50 × 112,637.50
  4. Step 4: Simplify right side
    71,953x = 12,687,206,406.25
  5. Step 5: Solve for x
    x = 12,687,206,406.25/71,953
  6. Step 6: Final answer
    x = 176,326.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.