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Finding the Third Proportional to 108,348 and 162,526

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Solution

The third proportional to 108,348 and 162,526 is: 243,795.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,348 : 162,526 = 162,526 : x
  2. Step 2: Convert to fraction form
    108,348/162,526 = 162,526/x
  3. Step 3: Cross multiply
    108,348x = 162,526 × 162,526
  4. Step 4: Simplify right side
    108,348x = 26,414,700,676
  5. Step 5: Solve for x
    x = 26,414,700,676/108,348
  6. Step 6: Final answer
    x = 243,795.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.