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Finding the Third Proportional to 65,356 and 96,118

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Solution

The third proportional to 65,356 and 96,118 is: 141,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,356 : 96,118 = 96,118 : x
  2. Step 2: Convert to fraction form
    65,356/96,118 = 96,118/x
  3. Step 3: Cross multiply
    65,356x = 96,118 × 96,118
  4. Step 4: Simplify right side
    65,356x = 9,238,669,924
  5. Step 5: Solve for x
    x = 9,238,669,924/65,356
  6. Step 6: Final answer
    x = 141,359.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.