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Finding the Third Proportional to 77,730 and 161,301

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Solution

The third proportional to 77,730 and 161,301 is: 334,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,730 : 161,301 = 161,301 : x
  2. Step 2: Convert to fraction form
    77,730/161,301 = 161,301/x
  3. Step 3: Cross multiply
    77,730x = 161,301 × 161,301
  4. Step 4: Simplify right side
    77,730x = 26,018,012,601
  5. Step 5: Solve for x
    x = 26,018,012,601/77,730
  6. Step 6: Final answer
    x = 334,722.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.