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Finding the Third Proportional to 74,300 and 112,870

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Solution

The third proportional to 74,300 and 112,870 is: 171,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,300 : 112,870 = 112,870 : x
  2. Step 2: Convert to fraction form
    74,300/112,870 = 112,870/x
  3. Step 3: Cross multiply
    74,300x = 112,870 × 112,870
  4. Step 4: Simplify right side
    74,300x = 12,739,636,900
  5. Step 5: Solve for x
    x = 12,739,636,900/74,300
  6. Step 6: Final answer
    x = 171,462.14

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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.