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Finding the Third Proportional to 53,088 and 115,541

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Solution

The third proportional to 53,088 and 115,541 is: 251,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,088 : 115,541 = 115,541 : x
  2. Step 2: Convert to fraction form
    53,088/115,541 = 115,541/x
  3. Step 3: Cross multiply
    53,088x = 115,541 × 115,541
  4. Step 4: Simplify right side
    53,088x = 13,349,722,681
  5. Step 5: Solve for x
    x = 13,349,722,681/53,088
  6. Step 6: Final answer
    x = 251,464.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.