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Finding the Third Proportional to 66,760 and 93,335

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Solution

The third proportional to 66,760 and 93,335 is: 130,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,760 : 93,335 = 93,335 : x
  2. Step 2: Convert to fraction form
    66,760/93,335 = 93,335/x
  3. Step 3: Cross multiply
    66,760x = 93,335 × 93,335
  4. Step 4: Simplify right side
    66,760x = 8,711,422,225
  5. Step 5: Solve for x
    x = 8,711,422,225/66,760
  6. Step 6: Final answer
    x = 130,488.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.