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Finding the Third Proportional to 61,747 and 93,953

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Solution

The third proportional to 61,747 and 93,953 is: 142,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,747 : 93,953 = 93,953 : x
  2. Step 2: Convert to fraction form
    61,747/93,953 = 93,953/x
  3. Step 3: Cross multiply
    61,747x = 93,953 × 93,953
  4. Step 4: Simplify right side
    61,747x = 8,827,166,209
  5. Step 5: Solve for x
    x = 8,827,166,209/61,747
  6. Step 6: Final answer
    x = 142,957.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.