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Finding the Third Proportional to 93,917 and 145,541

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Solution

The third proportional to 93,917 and 145,541 is: 225,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,917 : 145,541 = 145,541 : x
  2. Step 2: Convert to fraction form
    93,917/145,541 = 145,541/x
  3. Step 3: Cross multiply
    93,917x = 145,541 × 145,541
  4. Step 4: Simplify right side
    93,917x = 21,182,182,681
  5. Step 5: Solve for x
    x = 21,182,182,681/93,917
  6. Step 6: Final answer
    x = 225,541.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.