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Finding the Third Proportional to 95,973 and 210,090

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Solution

The third proportional to 95,973 and 210,090 is: 459,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,973 : 210,090 = 210,090 : x
  2. Step 2: Convert to fraction form
    95,973/210,090 = 210,090/x
  3. Step 3: Cross multiply
    95,973x = 210,090 × 210,090
  4. Step 4: Simplify right side
    95,973x = 44,137,808,100
  5. Step 5: Solve for x
    x = 44,137,808,100/95,973
  6. Step 6: Final answer
    x = 459,898.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.