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Finding the Third Proportional to 113,911 and 249,760

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Solution

The third proportional to 113,911 and 249,760 is: 547,621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,911 : 249,760 = 249,760 : x
  2. Step 2: Convert to fraction form
    113,911/249,760 = 249,760/x
  3. Step 3: Cross multiply
    113,911x = 249,760 × 249,760
  4. Step 4: Simplify right side
    113,911x = 62,380,057,600
  5. Step 5: Solve for x
    x = 62,380,057,600/113,911
  6. Step 6: Final answer
    x = 547,621.02

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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.