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Finding the Third Proportional to 63,594 and 137,106

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Solution

The third proportional to 63,594 and 137,106 is: 295,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,594 : 137,106 = 137,106 : x
  2. Step 2: Convert to fraction form
    63,594/137,106 = 137,106/x
  3. Step 3: Cross multiply
    63,594x = 137,106 × 137,106
  4. Step 4: Simplify right side
    63,594x = 18,798,055,236
  5. Step 5: Solve for x
    x = 18,798,055,236/63,594
  6. Step 6: Final answer
    x = 295,594.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.