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Finding the Third Proportional to 64,972 and 97,886

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Solution

The third proportional to 64,972 and 97,886 is: 147,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972 : 97,886 = 97,886 : x
  2. Step 2: Convert to fraction form
    64,972/97,886 = 97,886/x
  3. Step 3: Cross multiply
    64,972x = 97,886 × 97,886
  4. Step 4: Simplify right side
    64,972x = 9,581,668,996
  5. Step 5: Solve for x
    x = 9,581,668,996/64,972
  6. Step 6: Final answer
    x = 147,473.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.