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Finding the Third Proportional to 104,426 and 162,877

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Solution

The third proportional to 104,426 and 162,877 is: 254,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,426 : 162,877 = 162,877 : x
  2. Step 2: Convert to fraction form
    104,426/162,877 = 162,877/x
  3. Step 3: Cross multiply
    104,426x = 162,877 × 162,877
  4. Step 4: Simplify right side
    104,426x = 26,528,917,129
  5. Step 5: Solve for x
    x = 26,528,917,129/104,426
  6. Step 6: Final answer
    x = 254,045.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.