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Finding the Third Proportional to 71,390 and 111,038

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Solution

The third proportional to 71,390 and 111,038 is: 172,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,390 : 111,038 = 111,038 : x
  2. Step 2: Convert to fraction form
    71,390/111,038 = 111,038/x
  3. Step 3: Cross multiply
    71,390x = 111,038 × 111,038
  4. Step 4: Simplify right side
    71,390x = 12,329,437,444
  5. Step 5: Solve for x
    x = 12,329,437,444/71,390
  6. Step 6: Final answer
    x = 172,705.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.