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Finding the Third Proportional to 53,218 and 115,298

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Solution

The third proportional to 53,218 and 115,298 is: 249,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,218 : 115,298 = 115,298 : x
  2. Step 2: Convert to fraction form
    53,218/115,298 = 115,298/x
  3. Step 3: Cross multiply
    53,218x = 115,298 × 115,298
  4. Step 4: Simplify right side
    53,218x = 13,293,628,804
  5. Step 5: Solve for x
    x = 13,293,628,804/53,218
  6. Step 6: Final answer
    x = 249,795.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.