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Finding the Third Proportional to 72,498 and 112,053

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Solution

The third proportional to 72,498 and 112,053 is: 173,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,498 : 112,053 = 112,053 : x
  2. Step 2: Convert to fraction form
    72,498/112,053 = 112,053/x
  3. Step 3: Cross multiply
    72,498x = 112,053 × 112,053
  4. Step 4: Simplify right side
    72,498x = 12,555,874,809
  5. Step 5: Solve for x
    x = 12,555,874,809/72,498
  6. Step 6: Final answer
    x = 173,189.26

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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.