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Finding the Third Proportional to 113,933 and 249,736

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Solution

The third proportional to 113,933 and 249,736 is: 547,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,933 : 249,736 = 249,736 : x
  2. Step 2: Convert to fraction form
    113,933/249,736 = 249,736/x
  3. Step 3: Cross multiply
    113,933x = 249,736 × 249,736
  4. Step 4: Simplify right side
    113,933x = 62,368,069,696
  5. Step 5: Solve for x
    x = 62,368,069,696/113,933
  6. Step 6: Final answer
    x = 547,410.05

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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.