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Finding the Third Proportional to 113,896 and 249,243

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Solution

The third proportional to 113,896 and 249,243 is: 545,428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,896 : 249,243 = 249,243 : x
  2. Step 2: Convert to fraction form
    113,896/249,243 = 249,243/x
  3. Step 3: Cross multiply
    113,896x = 249,243 × 249,243
  4. Step 4: Simplify right side
    113,896x = 62,122,073,049
  5. Step 5: Solve for x
    x = 62,122,073,049/113,896
  6. Step 6: Final answer
    x = 545,428.05

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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.