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Finding the Third Proportional to 52,063 and 114,061

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Solution

The third proportional to 52,063 and 114,061 is: 249,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,063 : 114,061 = 114,061 : x
  2. Step 2: Convert to fraction form
    52,063/114,061 = 114,061/x
  3. Step 3: Cross multiply
    52,063x = 114,061 × 114,061
  4. Step 4: Simplify right side
    52,063x = 13,009,911,721
  5. Step 5: Solve for x
    x = 13,009,911,721/52,063
  6. Step 6: Final answer
    x = 249,887.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.