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Finding the Third Proportional to 65,018 and 97,264

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Solution

The third proportional to 65,018 and 97,264 is: 145,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,018 : 97,264 = 97,264 : x
  2. Step 2: Convert to fraction form
    65,018/97,264 = 97,264/x
  3. Step 3: Cross multiply
    65,018x = 97,264 × 97,264
  4. Step 4: Simplify right side
    65,018x = 9,460,285,696
  5. Step 5: Solve for x
    x = 9,460,285,696/65,018
  6. Step 6: Final answer
    x = 145,502.56

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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.