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Finding the Third Proportional to 62,465 and 89,026

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Solution

The third proportional to 62,465 and 89,026 is: 126,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,465 : 89,026 = 89,026 : x
  2. Step 2: Convert to fraction form
    62,465/89,026 = 89,026/x
  3. Step 3: Cross multiply
    62,465x = 89,026 × 89,026
  4. Step 4: Simplify right side
    62,465x = 7,925,628,676
  5. Step 5: Solve for x
    x = 7,925,628,676/62,465
  6. Step 6: Final answer
    x = 126,881.11

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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.