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Finding the Third Proportional to 77,882.63 and 116,692.88

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Solution

The third proportional to 77,882.63 and 116,692.88 is: 174,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882.63 : 116,692.88 = 116,692.88 : x
  2. Step 2: Convert to fraction form
    77,882.63/116,692.88 = 116,692.88/x
  3. Step 3: Cross multiply
    77,882.63x = 116,692.88 × 116,692.88
  4. Step 4: Simplify right side
    77,882.63x = 13,617,227,075.77
  5. Step 5: Solve for x
    x = 13,617,227,075.77/77,882.63
  6. Step 6: Final answer
    x = 174,842.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.