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Finding the Third Proportional to 85,994 and 129,495

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Solution

The third proportional to 85,994 and 129,495 is: 195,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,994 : 129,495 = 129,495 : x
  2. Step 2: Convert to fraction form
    85,994/129,495 = 129,495/x
  3. Step 3: Cross multiply
    85,994x = 129,495 × 129,495
  4. Step 4: Simplify right side
    85,994x = 16,768,955,025
  5. Step 5: Solve for x
    x = 16,768,955,025/85,994
  6. Step 6: Final answer
    x = 195,001.45

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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.