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Finding the Third Proportional to 34,461.75 and 78,051.75

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Solution

The third proportional to 34,461.75 and 78,051.75 is: 176,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,461.75 : 78,051.75 = 78,051.75 : x
  2. Step 2: Convert to fraction form
    34,461.75/78,051.75 = 78,051.75/x
  3. Step 3: Cross multiply
    34,461.75x = 78,051.75 × 78,051.75
  4. Step 4: Simplify right side
    34,461.75x = 6,092,075,678.06
  5. Step 5: Solve for x
    x = 6,092,075,678.06/34,461.75
  6. Step 6: Final answer
    x = 176,777.90

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.