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Finding the Third Proportional to 64,622.75 and 94,681.25

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Solution

The third proportional to 64,622.75 and 94,681.25 is: 138,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,622.75 : 94,681.25 = 94,681.25 : x
  2. Step 2: Convert to fraction form
    64,622.75/94,681.25 = 94,681.25/x
  3. Step 3: Cross multiply
    64,622.75x = 94,681.25 × 94,681.25
  4. Step 4: Simplify right side
    64,622.75x = 8,964,539,101.56
  5. Step 5: Solve for x
    x = 8,964,539,101.56/64,622.75
  6. Step 6: Final answer
    x = 138,721.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.