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Finding the Third Proportional to 53,161 and 115,070

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Solution

The third proportional to 53,161 and 115,070 is: 249,075.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,161 : 115,070 = 115,070 : x
  2. Step 2: Convert to fraction form
    53,161/115,070 = 115,070/x
  3. Step 3: Cross multiply
    53,161x = 115,070 × 115,070
  4. Step 4: Simplify right side
    53,161x = 13,241,104,900
  5. Step 5: Solve for x
    x = 13,241,104,900/53,161
  6. Step 6: Final answer
    x = 249,075.54

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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.