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Finding the Third Proportional to 42,613 and 93,001

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Solution

The third proportional to 42,613 and 93,001 is: 202,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,613 : 93,001 = 93,001 : x
  2. Step 2: Convert to fraction form
    42,613/93,001 = 93,001/x
  3. Step 3: Cross multiply
    42,613x = 93,001 × 93,001
  4. Step 4: Simplify right side
    42,613x = 8,649,186,001
  5. Step 5: Solve for x
    x = 8,649,186,001/42,613
  6. Step 6: Final answer
    x = 202,970.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.