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Finding the Third Proportional to 145,568 and 187,248

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Solution

The third proportional to 145,568 and 187,248 is: 240,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,568 : 187,248 = 187,248 : x
  2. Step 2: Convert to fraction form
    145,568/187,248 = 187,248/x
  3. Step 3: Cross multiply
    145,568x = 187,248 × 187,248
  4. Step 4: Simplify right side
    145,568x = 35,061,813,504
  5. Step 5: Solve for x
    x = 35,061,813,504/145,568
  6. Step 6: Final answer
    x = 240,862.10

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.