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Finding the Third Proportional to 70,712 and 152,492

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Solution

The third proportional to 70,712 and 152,492 is: 328,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,712 : 152,492 = 152,492 : x
  2. Step 2: Convert to fraction form
    70,712/152,492 = 152,492/x
  3. Step 3: Cross multiply
    70,712x = 152,492 × 152,492
  4. Step 4: Simplify right side
    70,712x = 23,253,810,064
  5. Step 5: Solve for x
    x = 23,253,810,064/70,712
  6. Step 6: Final answer
    x = 328,852.39

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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.