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Finding the Third Proportional to 69,444 and 148,752

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Solution

The third proportional to 69,444 and 148,752 is: 318,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,444 : 148,752 = 148,752 : x
  2. Step 2: Convert to fraction form
    69,444/148,752 = 148,752/x
  3. Step 3: Cross multiply
    69,444x = 148,752 × 148,752
  4. Step 4: Simplify right side
    69,444x = 22,127,157,504
  5. Step 5: Solve for x
    x = 22,127,157,504/69,444
  6. Step 6: Final answer
    x = 318,633.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.