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Finding the Third Proportional to 68,850 and 101,992.50

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Solution

The third proportional to 68,850 and 101,992.50 is: 151,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,850 : 101,992.50 = 101,992.50 : x
  2. Step 2: Convert to fraction form
    68,850/101,992.50 = 101,992.50/x
  3. Step 3: Cross multiply
    68,850x = 101,992.50 × 101,992.50
  4. Step 4: Simplify right side
    68,850x = 10,402,470,056.25
  5. Step 5: Solve for x
    x = 10,402,470,056.25/68,850
  6. Step 6: Final answer
    x = 151,088.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.