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Finding the Third Proportional to 70,054 and 96,332

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Solution

The third proportional to 70,054 and 96,332 is: 132,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,054 : 96,332 = 96,332 : x
  2. Step 2: Convert to fraction form
    70,054/96,332 = 96,332/x
  3. Step 3: Cross multiply
    70,054x = 96,332 × 96,332
  4. Step 4: Simplify right side
    70,054x = 9,279,854,224
  5. Step 5: Solve for x
    x = 9,279,854,224/70,054
  6. Step 6: Final answer
    x = 132,467.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.