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Finding the Third Proportional to 78,379 and 112,038

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Solution

The third proportional to 78,379 and 112,038 is: 160,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,379 : 112,038 = 112,038 : x
  2. Step 2: Convert to fraction form
    78,379/112,038 = 112,038/x
  3. Step 3: Cross multiply
    78,379x = 112,038 × 112,038
  4. Step 4: Simplify right side
    78,379x = 12,552,513,444
  5. Step 5: Solve for x
    x = 12,552,513,444/78,379
  6. Step 6: Final answer
    x = 160,151.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.