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Finding the Third Proportional to 65,249 and 97,842

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Solution

The third proportional to 65,249 and 97,842 is: 146,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,249 : 97,842 = 97,842 : x
  2. Step 2: Convert to fraction form
    65,249/97,842 = 97,842/x
  3. Step 3: Cross multiply
    65,249x = 97,842 × 97,842
  4. Step 4: Simplify right side
    65,249x = 9,573,056,964
  5. Step 5: Solve for x
    x = 9,573,056,964/65,249
  6. Step 6: Final answer
    x = 146,715.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.