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Finding the Third Proportional to 103,412 and 158,095

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Solution

The third proportional to 103,412 and 158,095 is: 241,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,412 : 158,095 = 158,095 : x
  2. Step 2: Convert to fraction form
    103,412/158,095 = 158,095/x
  3. Step 3: Cross multiply
    103,412x = 158,095 × 158,095
  4. Step 4: Simplify right side
    103,412x = 24,994,029,025
  5. Step 5: Solve for x
    x = 24,994,029,025/103,412
  6. Step 6: Final answer
    x = 241,693.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.