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Finding the Third Proportional to 65,461.22 and 100,095.47

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Solution

The third proportional to 65,461.22 and 100,095.47 is: 153,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,461.22 : 100,095.47 = 100,095.47 : x
  2. Step 2: Convert to fraction form
    65,461.22/100,095.47 = 100,095.47/x
  3. Step 3: Cross multiply
    65,461.22x = 100,095.47 × 100,095.47
  4. Step 4: Simplify right side
    65,461.22x = 10,019,102,864.28
  5. Step 5: Solve for x
    x = 10,019,102,864.28/65,461.22
  6. Step 6: Final answer
    x = 153,054.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.