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Finding the Third Proportional to 113,912 and 249,270

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Solution

The third proportional to 113,912 and 249,270 is: 545,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,912 : 249,270 = 249,270 : x
  2. Step 2: Convert to fraction form
    113,912/249,270 = 249,270/x
  3. Step 3: Cross multiply
    113,912x = 249,270 × 249,270
  4. Step 4: Simplify right side
    113,912x = 62,135,532,900
  5. Step 5: Solve for x
    x = 62,135,532,900/113,912
  6. Step 6: Final answer
    x = 545,469.60

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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.