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Finding the Third Proportional to 78,654 and 124,603.50

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Solution

The third proportional to 78,654 and 124,603.50 is: 197,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,654 : 124,603.50 = 124,603.50 : x
  2. Step 2: Convert to fraction form
    78,654/124,603.50 = 124,603.50/x
  3. Step 3: Cross multiply
    78,654x = 124,603.50 × 124,603.50
  4. Step 4: Simplify right side
    78,654x = 15,526,032,212.25
  5. Step 5: Solve for x
    x = 15,526,032,212.25/78,654
  6. Step 6: Final answer
    x = 197,396.60

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