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Finding the Third Proportional to 63,510 and 93,429

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Solution

The third proportional to 63,510 and 93,429 is: 137,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,510 : 93,429 = 93,429 : x
  2. Step 2: Convert to fraction form
    63,510/93,429 = 93,429/x
  3. Step 3: Cross multiply
    63,510x = 93,429 × 93,429
  4. Step 4: Simplify right side
    63,510x = 8,728,978,041
  5. Step 5: Solve for x
    x = 8,728,978,041/63,510
  6. Step 6: Final answer
    x = 137,442.58

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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.