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Finding the Third Proportional to 63,559 and 93,213

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Solution

The third proportional to 63,559 and 93,213 is: 136,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,559 : 93,213 = 93,213 : x
  2. Step 2: Convert to fraction form
    63,559/93,213 = 93,213/x
  3. Step 3: Cross multiply
    63,559x = 93,213 × 93,213
  4. Step 4: Simplify right side
    63,559x = 8,688,663,369
  5. Step 5: Solve for x
    x = 8,688,663,369/63,559
  6. Step 6: Final answer
    x = 136,702.33

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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.