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Finding the Third Proportional to 42,502 and 93,063

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Solution

The third proportional to 42,502 and 93,063 is: 203,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,502 : 93,063 = 93,063 : x
  2. Step 2: Convert to fraction form
    42,502/93,063 = 93,063/x
  3. Step 3: Cross multiply
    42,502x = 93,063 × 93,063
  4. Step 4: Simplify right side
    42,502x = 8,660,721,969
  5. Step 5: Solve for x
    x = 8,660,721,969/42,502
  6. Step 6: Final answer
    x = 203,772.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.