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Finding the Third Proportional to 122,481 and 187,365

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Solution

The third proportional to 122,481 and 187,365 is: 286,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,481 : 187,365 = 187,365 : x
  2. Step 2: Convert to fraction form
    122,481/187,365 = 187,365/x
  3. Step 3: Cross multiply
    122,481x = 187,365 × 187,365
  4. Step 4: Simplify right side
    122,481x = 35,105,643,225
  5. Step 5: Solve for x
    x = 35,105,643,225/122,481
  6. Step 6: Final answer
    x = 286,621.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.