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Finding the Third Proportional to 115,807 and 183,525

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Solution

The third proportional to 115,807 and 183,525 is: 290,841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,807 : 183,525 = 183,525 : x
  2. Step 2: Convert to fraction form
    115,807/183,525 = 183,525/x
  3. Step 3: Cross multiply
    115,807x = 183,525 × 183,525
  4. Step 4: Simplify right side
    115,807x = 33,681,425,625
  5. Step 5: Solve for x
    x = 33,681,425,625/115,807
  6. Step 6: Final answer
    x = 290,841.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.