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Finding the Third Proportional to 60,170.34 and 93,122.16

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Solution

The third proportional to 60,170.34 and 93,122.16 is: 144,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,170.34 : 93,122.16 = 93,122.16 : x
  2. Step 2: Convert to fraction form
    60,170.34/93,122.16 = 93,122.16/x
  3. Step 3: Cross multiply
    60,170.34x = 93,122.16 × 93,122.16
  4. Step 4: Simplify right side
    60,170.34x = 8,671,735,984.65
  5. Step 5: Solve for x
    x = 8,671,735,984.65/60,170.34
  6. Step 6: Final answer
    x = 144,119.77

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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.