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Finding the Third Proportional to 145,112 and 219,862

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Solution

The third proportional to 145,112 and 219,862 is: 333,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,112 : 219,862 = 219,862 : x
  2. Step 2: Convert to fraction form
    145,112/219,862 = 219,862/x
  3. Step 3: Cross multiply
    145,112x = 219,862 × 219,862
  4. Step 4: Simplify right side
    145,112x = 48,339,299,044
  5. Step 5: Solve for x
    x = 48,339,299,044/145,112
  6. Step 6: Final answer
    x = 333,117.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.