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Finding the Third Proportional to 52,643.50 and 115,129

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Solution

The third proportional to 52,643.50 and 115,129 is: 251,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,643.50 : 115,129 = 115,129 : x
  2. Step 2: Convert to fraction form
    52,643.50/115,129 = 115,129/x
  3. Step 3: Cross multiply
    52,643.50x = 115,129 × 115,129
  4. Step 4: Simplify right side
    52,643.50x = 13,254,686,641
  5. Step 5: Solve for x
    x = 13,254,686,641/52,643.50
  6. Step 6: Final answer
    x = 251,782.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.