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Finding the Third Proportional to 63,585 and 93,427

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Solution

The third proportional to 63,585 and 93,427 is: 137,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,585 : 93,427 = 93,427 : x
  2. Step 2: Convert to fraction form
    63,585/93,427 = 93,427/x
  3. Step 3: Cross multiply
    63,585x = 93,427 × 93,427
  4. Step 4: Simplify right side
    63,585x = 8,728,604,329
  5. Step 5: Solve for x
    x = 8,728,604,329/63,585
  6. Step 6: Final answer
    x = 137,274.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.