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Finding the Third Proportional to 102,902.63 and 158,455.13

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Solution

The third proportional to 102,902.63 and 158,455.13 is: 243,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,902.63 : 158,455.13 = 158,455.13 : x
  2. Step 2: Convert to fraction form
    102,902.63/158,455.13 = 158,455.13/x
  3. Step 3: Cross multiply
    102,902.63x = 158,455.13 × 158,455.13
  4. Step 4: Simplify right side
    102,902.63x = 25,108,026,638.77
  5. Step 5: Solve for x
    x = 25,108,026,638.77/102,902.63
  6. Step 6: Final answer
    x = 243,997.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.