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Finding the Third Proportional to 70,492 and 107,971

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Solution

The third proportional to 70,492 and 107,971 is: 165,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492 : 107,971 = 107,971 : x
  2. Step 2: Convert to fraction form
    70,492/107,971 = 107,971/x
  3. Step 3: Cross multiply
    70,492x = 107,971 × 107,971
  4. Step 4: Simplify right side
    70,492x = 11,657,736,841
  5. Step 5: Solve for x
    x = 11,657,736,841/70,492
  6. Step 6: Final answer
    x = 165,376.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.