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Finding the Third Proportional to 42,646.50 and 88,573.50

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Solution

The third proportional to 42,646.50 and 88,573.50 is: 183,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,646.50 : 88,573.50 = 88,573.50 : x
  2. Step 2: Convert to fraction form
    42,646.50/88,573.50 = 88,573.50/x
  3. Step 3: Cross multiply
    42,646.50x = 88,573.50 × 88,573.50
  4. Step 4: Simplify right side
    42,646.50x = 7,845,264,902.25
  5. Step 5: Solve for x
    x = 7,845,264,902.25/42,646.50
  6. Step 6: Final answer
    x = 183,960.35

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.