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Finding the Third Proportional to 72,446.06 and 106,574.06

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Solution

The third proportional to 72,446.06 and 106,574.06 is: 156,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,446.06 : 106,574.06 = 106,574.06 : x
  2. Step 2: Convert to fraction form
    72,446.06/106,574.06 = 106,574.06/x
  3. Step 3: Cross multiply
    72,446.06x = 106,574.06 × 106,574.06
  4. Step 4: Simplify right side
    72,446.06x = 11,358,030,797.75
  5. Step 5: Solve for x
    x = 11,358,030,797.75/72,446.06
  6. Step 6: Final answer
    x = 156,779.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.