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Finding the Third Proportional to 60,210 and 93,762

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Solution

The third proportional to 60,210 and 93,762 is: 146,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,210 : 93,762 = 93,762 : x
  2. Step 2: Convert to fraction form
    60,210/93,762 = 93,762/x
  3. Step 3: Cross multiply
    60,210x = 93,762 × 93,762
  4. Step 4: Simplify right side
    60,210x = 8,791,312,644
  5. Step 5: Solve for x
    x = 8,791,312,644/60,210
  6. Step 6: Final answer
    x = 146,010.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.