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Finding the Third Proportional to 117,625 and 183,459.50

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Solution

The third proportional to 117,625 and 183,459.50 is: 286,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,625 : 183,459.50 = 183,459.50 : x
  2. Step 2: Convert to fraction form
    117,625/183,459.50 = 183,459.50/x
  3. Step 3: Cross multiply
    117,625x = 183,459.50 × 183,459.50
  4. Step 4: Simplify right side
    117,625x = 33,657,388,140.25
  5. Step 5: Solve for x
    x = 33,657,388,140.25/117,625
  6. Step 6: Final answer
    x = 286,141.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.