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Finding the Third Proportional to 72,348 and 115,124

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Solution

The third proportional to 72,348 and 115,124 is: 183,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,348 : 115,124 = 115,124 : x
  2. Step 2: Convert to fraction form
    72,348/115,124 = 115,124/x
  3. Step 3: Cross multiply
    72,348x = 115,124 × 115,124
  4. Step 4: Simplify right side
    72,348x = 13,253,535,376
  5. Step 5: Solve for x
    x = 13,253,535,376/72,348
  6. Step 6: Final answer
    x = 183,191.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.