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Finding the Third Proportional to 68,461 and 148,154

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Solution

The third proportional to 68,461 and 148,154 is: 320,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,461 : 148,154 = 148,154 : x
  2. Step 2: Convert to fraction form
    68,461/148,154 = 148,154/x
  3. Step 3: Cross multiply
    68,461x = 148,154 × 148,154
  4. Step 4: Simplify right side
    68,461x = 21,949,607,716
  5. Step 5: Solve for x
    x = 21,949,607,716/68,461
  6. Step 6: Final answer
    x = 320,614.77

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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.