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Finding the Third Proportional to 75,402.84 and 117,554.06

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Solution

The third proportional to 75,402.84 and 117,554.06 is: 183,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,402.84 : 117,554.06 = 117,554.06 : x
  2. Step 2: Convert to fraction form
    75,402.84/117,554.06 = 117,554.06/x
  3. Step 3: Cross multiply
    75,402.84x = 117,554.06 × 117,554.06
  4. Step 4: Simplify right side
    75,402.84x = 13,818,957,610.25
  5. Step 5: Solve for x
    x = 13,818,957,610.25/75,402.84
  6. Step 6: Final answer
    x = 183,268.39

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