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Finding the Third Proportional to 65,796 and 144,394.50

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Solution

The third proportional to 65,796 and 144,394.50 is: 316,885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,796 : 144,394.50 = 144,394.50 : x
  2. Step 2: Convert to fraction form
    65,796/144,394.50 = 144,394.50/x
  3. Step 3: Cross multiply
    65,796x = 144,394.50 × 144,394.50
  4. Step 4: Simplify right side
    65,796x = 20,849,771,630.25
  5. Step 5: Solve for x
    x = 20,849,771,630.25/65,796
  6. Step 6: Final answer
    x = 316,885.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.