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Finding the Third Proportional to 66,126 and 96,358

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Solution

The third proportional to 66,126 and 96,358 is: 140,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,126 : 96,358 = 96,358 : x
  2. Step 2: Convert to fraction form
    66,126/96,358 = 96,358/x
  3. Step 3: Cross multiply
    66,126x = 96,358 × 96,358
  4. Step 4: Simplify right side
    66,126x = 9,284,864,164
  5. Step 5: Solve for x
    x = 9,284,864,164/66,126
  6. Step 6: Final answer
    x = 140,411.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.