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Finding the Third Proportional to 64,000.13 and 96,881.06

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Solution

The third proportional to 64,000.13 and 96,881.06 is: 146,655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000.13 : 96,881.06 = 96,881.06 : x
  2. Step 2: Convert to fraction form
    64,000.13/96,881.06 = 96,881.06/x
  3. Step 3: Cross multiply
    64,000.13x = 96,881.06 × 96,881.06
  4. Step 4: Simplify right side
    64,000.13x = 9,385,940,271.13
  5. Step 5: Solve for x
    x = 9,385,940,271.13/64,000.13
  6. Step 6: Final answer
    x = 146,655.03

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1.5x scale

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.