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Finding the Third Proportional to 64,044 and 96,271.88

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Solution

The third proportional to 64,044 and 96,271.88 is: 144,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,044 : 96,271.88 = 96,271.88 : x
  2. Step 2: Convert to fraction form
    64,044/96,271.88 = 96,271.88/x
  3. Step 3: Cross multiply
    64,044x = 96,271.88 × 96,271.88
  4. Step 4: Simplify right side
    64,044x = 9,268,273,916.02
  5. Step 5: Solve for x
    x = 9,268,273,916.02/64,044
  6. Step 6: Final answer
    x = 144,717.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.