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Finding the Third Proportional to 59,984 and 93,120

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Solution

The third proportional to 59,984 and 93,120 is: 144,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,984 : 93,120 = 93,120 : x
  2. Step 2: Convert to fraction form
    59,984/93,120 = 93,120/x
  3. Step 3: Cross multiply
    59,984x = 93,120 × 93,120
  4. Step 4: Simplify right side
    59,984x = 8,671,334,400
  5. Step 5: Solve for x
    x = 8,671,334,400/59,984
  6. Step 6: Final answer
    x = 144,560.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.