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Finding the Third Proportional to 53,164 and 115,076

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Solution

The third proportional to 53,164 and 115,076 is: 249,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,164 : 115,076 = 115,076 : x
  2. Step 2: Convert to fraction form
    53,164/115,076 = 115,076/x
  3. Step 3: Cross multiply
    53,164x = 115,076 × 115,076
  4. Step 4: Simplify right side
    53,164x = 13,242,485,776
  5. Step 5: Solve for x
    x = 13,242,485,776/53,164
  6. Step 6: Final answer
    x = 249,087.46

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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.