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Finding the Third Proportional to 113,913 and 249,764

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Solution

The third proportional to 113,913 and 249,764 is: 547,628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,913 : 249,764 = 249,764 : x
  2. Step 2: Convert to fraction form
    113,913/249,764 = 249,764/x
  3. Step 3: Cross multiply
    113,913x = 249,764 × 249,764
  4. Step 4: Simplify right side
    113,913x = 62,382,055,696
  5. Step 5: Solve for x
    x = 62,382,055,696/113,913
  6. Step 6: Final answer
    x = 547,628.94

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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.