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Finding the Third Proportional to 64,004 and 96,886

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Solution

The third proportional to 64,004 and 96,886 is: 146,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,004 : 96,886 = 96,886 : x
  2. Step 2: Convert to fraction form
    64,004/96,886 = 96,886/x
  3. Step 3: Cross multiply
    64,004x = 96,886 × 96,886
  4. Step 4: Simplify right side
    64,004x = 9,386,896,996
  5. Step 5: Solve for x
    x = 9,386,896,996/64,004
  6. Step 6: Final answer
    x = 146,661.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.