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Finding the Third Proportional to 74,385 and 113,320.69

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Solution

The third proportional to 74,385 and 113,320.69 is: 172,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,385 : 113,320.69 = 113,320.69 : x
  2. Step 2: Convert to fraction form
    74,385/113,320.69 = 113,320.69/x
  3. Step 3: Cross multiply
    74,385x = 113,320.69 × 113,320.69
  4. Step 4: Simplify right side
    74,385x = 12,841,578,215.47
  5. Step 5: Solve for x
    x = 12,841,578,215.47/74,385
  6. Step 6: Final answer
    x = 172,636.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.