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Finding the Third Proportional to 124,449 and 187,570.50

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Solution

The third proportional to 124,449 and 187,570.50 is: 282,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,449 : 187,570.50 = 187,570.50 : x
  2. Step 2: Convert to fraction form
    124,449/187,570.50 = 187,570.50/x
  3. Step 3: Cross multiply
    124,449x = 187,570.50 × 187,570.50
  4. Step 4: Simplify right side
    124,449x = 35,182,692,470.25
  5. Step 5: Solve for x
    x = 35,182,692,470.25/124,449
  6. Step 6: Final answer
    x = 282,707.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.