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Finding the Third Proportional to 74,050 and 111,730

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Solution

The third proportional to 74,050 and 111,730 is: 168,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,050 : 111,730 = 111,730 : x
  2. Step 2: Convert to fraction form
    74,050/111,730 = 111,730/x
  3. Step 3: Cross multiply
    74,050x = 111,730 × 111,730
  4. Step 4: Simplify right side
    74,050x = 12,483,592,900
  5. Step 5: Solve for x
    x = 12,483,592,900/74,050
  6. Step 6: Final answer
    x = 168,583.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.