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Finding the Third Proportional to 115,898 and 249,127

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Solution

The third proportional to 115,898 and 249,127 is: 535,507.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,898 : 249,127 = 249,127 : x
  2. Step 2: Convert to fraction form
    115,898/249,127 = 249,127/x
  3. Step 3: Cross multiply
    115,898x = 249,127 × 249,127
  4. Step 4: Simplify right side
    115,898x = 62,064,262,129
  5. Step 5: Solve for x
    x = 62,064,262,129/115,898
  6. Step 6: Final answer
    x = 535,507.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.