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Finding the Third Proportional to 59,762.81 and 81,207.56

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Solution

The third proportional to 59,762.81 and 81,207.56 is: 110,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,762.81 : 81,207.56 = 81,207.56 : x
  2. Step 2: Convert to fraction form
    59,762.81/81,207.56 = 81,207.56/x
  3. Step 3: Cross multiply
    59,762.81x = 81,207.56 × 81,207.56
  4. Step 4: Simplify right side
    59,762.81x = 6,594,668,207.19
  5. Step 5: Solve for x
    x = 6,594,668,207.19/59,762.81
  6. Step 6: Final answer
    x = 110,347.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.