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Finding the Third Proportional to 64,156.50 and 140,889

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Solution

The third proportional to 64,156.50 and 140,889 is: 309,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,156.50 : 140,889 = 140,889 : x
  2. Step 2: Convert to fraction form
    64,156.50/140,889 = 140,889/x
  3. Step 3: Cross multiply
    64,156.50x = 140,889 × 140,889
  4. Step 4: Simplify right side
    64,156.50x = 19,849,710,321
  5. Step 5: Solve for x
    x = 19,849,710,321/64,156.50
  6. Step 6: Final answer
    x = 309,395.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.