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Finding the Third Proportional to 49,437.84 and 78,602.91

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Solution

The third proportional to 49,437.84 and 78,602.91 is: 124,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,437.84 : 78,602.91 = 78,602.91 : x
  2. Step 2: Convert to fraction form
    49,437.84/78,602.91 = 78,602.91/x
  3. Step 3: Cross multiply
    49,437.84x = 78,602.91 × 78,602.91
  4. Step 4: Simplify right side
    49,437.84x = 6,178,416,870.95
  5. Step 5: Solve for x
    x = 6,178,416,870.95/49,437.84
  6. Step 6: Final answer
    x = 124,973.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.