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Finding the Third Proportional to 75,484 and 96,810

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Solution

The third proportional to 75,484 and 96,810 is: 124,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,484 : 96,810 = 96,810 : x
  2. Step 2: Convert to fraction form
    75,484/96,810 = 96,810/x
  3. Step 3: Cross multiply
    75,484x = 96,810 × 96,810
  4. Step 4: Simplify right side
    75,484x = 9,372,176,100
  5. Step 5: Solve for x
    x = 9,372,176,100/75,484
  6. Step 6: Final answer
    x = 124,161.10

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.