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Finding the Third Proportional to 61,534.50 and 94,899

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Solution

The third proportional to 61,534.50 and 94,899 is: 146,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,534.50 : 94,899 = 94,899 : x
  2. Step 2: Convert to fraction form
    61,534.50/94,899 = 94,899/x
  3. Step 3: Cross multiply
    61,534.50x = 94,899 × 94,899
  4. Step 4: Simplify right side
    61,534.50x = 9,005,820,201
  5. Step 5: Solve for x
    x = 9,005,820,201/61,534.50
  6. Step 6: Final answer
    x = 146,354.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.