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Finding the Third Proportional to 68,156 and 97,560

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Solution

The third proportional to 68,156 and 97,560 is: 139,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,156 : 97,560 = 97,560 : x
  2. Step 2: Convert to fraction form
    68,156/97,560 = 97,560/x
  3. Step 3: Cross multiply
    68,156x = 97,560 × 97,560
  4. Step 4: Simplify right side
    68,156x = 9,517,953,600
  5. Step 5: Solve for x
    x = 9,517,953,600/68,156
  6. Step 6: Final answer
    x = 139,649.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.