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Finding the Third Proportional to 63,730.55 and 102,823.17

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Solution

The third proportional to 63,730.55 and 102,823.17 is: 165,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,730.55 : 102,823.17 = 102,823.17 : x
  2. Step 2: Convert to fraction form
    63,730.55/102,823.17 = 102,823.17/x
  3. Step 3: Cross multiply
    63,730.55x = 102,823.17 × 102,823.17
  4. Step 4: Simplify right side
    63,730.55x = 10,572,604,674.44
  5. Step 5: Solve for x
    x = 10,572,604,674.44/63,730.55
  6. Step 6: Final answer
    x = 165,895.40

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Why These Related Problems?

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