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Finding the Third Proportional to 30,158.06 and 64,456.88

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Solution

The third proportional to 30,158.06 and 64,456.88 is: 137,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,158.06 : 64,456.88 = 64,456.88 : x
  2. Step 2: Convert to fraction form
    30,158.06/64,456.88 = 64,456.88/x
  3. Step 3: Cross multiply
    30,158.06x = 64,456.88 × 64,456.88
  4. Step 4: Simplify right side
    30,158.06x = 4,154,688,734.77
  5. Step 5: Solve for x
    x = 4,154,688,734.77/30,158.06
  6. Step 6: Final answer
    x = 137,763.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.