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Finding the Third Proportional to 104,031 and 152,342

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Solution

The third proportional to 104,031 and 152,342 is: 223,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,031 : 152,342 = 152,342 : x
  2. Step 2: Convert to fraction form
    104,031/152,342 = 152,342/x
  3. Step 3: Cross multiply
    104,031x = 152,342 × 152,342
  4. Step 4: Simplify right side
    104,031x = 23,208,084,964
  5. Step 5: Solve for x
    x = 23,208,084,964/104,031
  6. Step 6: Final answer
    x = 223,088.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.