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Finding the Third Proportional to 145,570 and 187,251

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Solution

The third proportional to 145,570 and 187,251 is: 240,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,570 : 187,251 = 187,251 : x
  2. Step 2: Convert to fraction form
    145,570/187,251 = 187,251/x
  3. Step 3: Cross multiply
    145,570x = 187,251 × 187,251
  4. Step 4: Simplify right side
    145,570x = 35,062,937,001
  5. Step 5: Solve for x
    x = 35,062,937,001/145,570
  6. Step 6: Final answer
    x = 240,866.50

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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.