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Finding the Third Proportional to 74,035 and 112,893

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Solution

The third proportional to 74,035 and 112,893 is: 172,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,035 : 112,893 = 112,893 : x
  2. Step 2: Convert to fraction form
    74,035/112,893 = 112,893/x
  3. Step 3: Cross multiply
    74,035x = 112,893 × 112,893
  4. Step 4: Simplify right side
    74,035x = 12,744,829,449
  5. Step 5: Solve for x
    x = 12,744,829,449/74,035
  6. Step 6: Final answer
    x = 172,146.00

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Why These Related Problems?

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