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Finding the Third Proportional to 60,770 and 93,283

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Solution

The third proportional to 60,770 and 93,283 is: 143,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,770 : 93,283 = 93,283 : x
  2. Step 2: Convert to fraction form
    60,770/93,283 = 93,283/x
  3. Step 3: Cross multiply
    60,770x = 93,283 × 93,283
  4. Step 4: Simplify right side
    60,770x = 8,701,718,089
  5. Step 5: Solve for x
    x = 8,701,718,089/60,770
  6. Step 6: Final answer
    x = 143,191.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.