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Finding the Third Proportional to 52,730 and 114,580

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Solution

The third proportional to 52,730 and 114,580 is: 248,977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,730 : 114,580 = 114,580 : x
  2. Step 2: Convert to fraction form
    52,730/114,580 = 114,580/x
  3. Step 3: Cross multiply
    52,730x = 114,580 × 114,580
  4. Step 4: Simplify right side
    52,730x = 13,128,576,400
  5. Step 5: Solve for x
    x = 13,128,576,400/52,730
  6. Step 6: Final answer
    x = 248,977.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.