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Finding the Third Proportional to 77,875 and 167,597

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Solution

The third proportional to 77,875 and 167,597 is: 360,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,875 : 167,597 = 167,597 : x
  2. Step 2: Convert to fraction form
    77,875/167,597 = 167,597/x
  3. Step 3: Cross multiply
    77,875x = 167,597 × 167,597
  4. Step 4: Simplify right side
    77,875x = 28,088,754,409
  5. Step 5: Solve for x
    x = 28,088,754,409/77,875
  6. Step 6: Final answer
    x = 360,690.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.