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Finding the Third Proportional to 72,561 and 112,076

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Solution

The third proportional to 72,561 and 112,076 is: 173,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,561 : 112,076 = 112,076 : x
  2. Step 2: Convert to fraction form
    72,561/112,076 = 112,076/x
  3. Step 3: Cross multiply
    72,561x = 112,076 × 112,076
  4. Step 4: Simplify right side
    72,561x = 12,561,029,776
  5. Step 5: Solve for x
    x = 12,561,029,776/72,561
  6. Step 6: Final answer
    x = 173,109.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.