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Finding the Third Proportional to 63,102 and 147,457.50

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Solution

The third proportional to 63,102 and 147,457.50 is: 344,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,102 : 147,457.50 = 147,457.50 : x
  2. Step 2: Convert to fraction form
    63,102/147,457.50 = 147,457.50/x
  3. Step 3: Cross multiply
    63,102x = 147,457.50 × 147,457.50
  4. Step 4: Simplify right side
    63,102x = 21,743,714,306.25
  5. Step 5: Solve for x
    x = 21,743,714,306.25/63,102
  6. Step 6: Final answer
    x = 344,580.43

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.