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Finding the Third Proportional to 65,178 and 97,478

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Solution

The third proportional to 65,178 and 97,478 is: 145,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,178 : 97,478 = 97,478 : x
  2. Step 2: Convert to fraction form
    65,178/97,478 = 97,478/x
  3. Step 3: Cross multiply
    65,178x = 97,478 × 97,478
  4. Step 4: Simplify right side
    65,178x = 9,501,960,484
  5. Step 5: Solve for x
    x = 9,501,960,484/65,178
  6. Step 6: Final answer
    x = 145,784.78

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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.