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Finding the Third Proportional to 73,579 and 97,854

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Solution

The third proportional to 73,579 and 97,854 is: 130,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,579 : 97,854 = 97,854 : x
  2. Step 2: Convert to fraction form
    73,579/97,854 = 97,854/x
  3. Step 3: Cross multiply
    73,579x = 97,854 × 97,854
  4. Step 4: Simplify right side
    73,579x = 9,575,405,316
  5. Step 5: Solve for x
    x = 9,575,405,316/73,579
  6. Step 6: Final answer
    x = 130,137.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.