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Finding the Third Proportional to 63,127 and 146,153.50

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Solution

The third proportional to 63,127 and 146,153.50 is: 338,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,127 : 146,153.50 = 146,153.50 : x
  2. Step 2: Convert to fraction form
    63,127/146,153.50 = 146,153.50/x
  3. Step 3: Cross multiply
    63,127x = 146,153.50 × 146,153.50
  4. Step 4: Simplify right side
    63,127x = 21,360,845,562.25
  5. Step 5: Solve for x
    x = 21,360,845,562.25/63,127
  6. Step 6: Final answer
    x = 338,378.91

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.