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Finding the Third Proportional to 53,498.25 and 115,461

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Solution

The third proportional to 53,498.25 and 115,461 is: 249,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,498.25 : 115,461 = 115,461 : x
  2. Step 2: Convert to fraction form
    53,498.25/115,461 = 115,461/x
  3. Step 3: Cross multiply
    53,498.25x = 115,461 × 115,461
  4. Step 4: Simplify right side
    53,498.25x = 13,331,242,521
  5. Step 5: Solve for x
    x = 13,331,242,521/53,498.25
  6. Step 6: Final answer
    x = 249,190.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.