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Finding the Third Proportional to 79,283 and 123,156.50

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Solution

The third proportional to 79,283 and 123,156.50 is: 191,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,283 : 123,156.50 = 123,156.50 : x
  2. Step 2: Convert to fraction form
    79,283/123,156.50 = 123,156.50/x
  3. Step 3: Cross multiply
    79,283x = 123,156.50 × 123,156.50
  4. Step 4: Simplify right side
    79,283x = 15,167,523,492.25
  5. Step 5: Solve for x
    x = 15,167,523,492.25/79,283
  6. Step 6: Final answer
    x = 191,308.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.