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Finding the Third Proportional to 49,565.25 and 79,807.50

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Solution

The third proportional to 49,565.25 and 79,807.50 is: 128,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,565.25 : 79,807.50 = 79,807.50 : x
  2. Step 2: Convert to fraction form
    49,565.25/79,807.50 = 79,807.50/x
  3. Step 3: Cross multiply
    49,565.25x = 79,807.50 × 79,807.50
  4. Step 4: Simplify right side
    49,565.25x = 6,369,237,056.25
  5. Step 5: Solve for x
    x = 6,369,237,056.25/49,565.25
  6. Step 6: Final answer
    x = 128,502.07

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.