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Finding the Third Proportional to 60,224 and 93,670

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Solution

The third proportional to 60,224 and 93,670 is: 145,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,224 : 93,670 = 93,670 : x
  2. Step 2: Convert to fraction form
    60,224/93,670 = 93,670/x
  3. Step 3: Cross multiply
    60,224x = 93,670 × 93,670
  4. Step 4: Simplify right side
    60,224x = 8,774,068,900
  5. Step 5: Solve for x
    x = 8,774,068,900/60,224
  6. Step 6: Final answer
    x = 145,690.57

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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.