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Finding the Third Proportional to 96,720 and 210,043

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Solution

The third proportional to 96,720 and 210,043 is: 456,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,720 : 210,043 = 210,043 : x
  2. Step 2: Convert to fraction form
    96,720/210,043 = 210,043/x
  3. Step 3: Cross multiply
    96,720x = 210,043 × 210,043
  4. Step 4: Simplify right side
    96,720x = 44,118,061,849
  5. Step 5: Solve for x
    x = 44,118,061,849/96,720
  6. Step 6: Final answer
    x = 456,142.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.