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Finding the Third Proportional to 67,480 and 146,088

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Solution

The third proportional to 67,480 and 146,088 is: 316,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,480 : 146,088 = 146,088 : x
  2. Step 2: Convert to fraction form
    67,480/146,088 = 146,088/x
  3. Step 3: Cross multiply
    67,480x = 146,088 × 146,088
  4. Step 4: Simplify right side
    67,480x = 21,341,703,744
  5. Step 5: Solve for x
    x = 21,341,703,744/67,480
  6. Step 6: Final answer
    x = 316,267.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.