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Finding the Third Proportional to 74,740.50 and 112,419

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Solution

The third proportional to 74,740.50 and 112,419 is: 169,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,740.50 : 112,419 = 112,419 : x
  2. Step 2: Convert to fraction form
    74,740.50/112,419 = 112,419/x
  3. Step 3: Cross multiply
    74,740.50x = 112,419 × 112,419
  4. Step 4: Simplify right side
    74,740.50x = 12,638,031,561
  5. Step 5: Solve for x
    x = 12,638,031,561/74,740.50
  6. Step 6: Final answer
    x = 169,092.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.