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Finding the Third Proportional to 52,972.50 and 114,347.25

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Solution

The third proportional to 52,972.50 and 114,347.25 is: 246,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,972.50 : 114,347.25 = 114,347.25 : x
  2. Step 2: Convert to fraction form
    52,972.50/114,347.25 = 114,347.25/x
  3. Step 3: Cross multiply
    52,972.50x = 114,347.25 × 114,347.25
  4. Step 4: Simplify right side
    52,972.50x = 13,075,293,582.56
  5. Step 5: Solve for x
    x = 13,075,293,582.56/52,972.50
  6. Step 6: Final answer
    x = 246,831.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.