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Finding the Third Proportional to 113,960 and 249,392

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Solution

The third proportional to 113,960 and 249,392 is: 545,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,960 : 249,392 = 249,392 : x
  2. Step 2: Convert to fraction form
    113,960/249,392 = 249,392/x
  3. Step 3: Cross multiply
    113,960x = 249,392 × 249,392
  4. Step 4: Simplify right side
    113,960x = 62,196,369,664
  5. Step 5: Solve for x
    x = 62,196,369,664/113,960
  6. Step 6: Final answer
    x = 545,773.69

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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.