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Finding the Third Proportional to 59,352 and 83,484

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Solution

The third proportional to 59,352 and 83,484 is: 117,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,352 : 83,484 = 83,484 : x
  2. Step 2: Convert to fraction form
    59,352/83,484 = 83,484/x
  3. Step 3: Cross multiply
    59,352x = 83,484 × 83,484
  4. Step 4: Simplify right side
    59,352x = 6,969,578,256
  5. Step 5: Solve for x
    x = 6,969,578,256/59,352
  6. Step 6: Final answer
    x = 117,427.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.