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Finding the Third Proportional to 34,075.13 and 70,059.75

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Solution

The third proportional to 34,075.13 and 70,059.75 is: 144,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,075.13 : 70,059.75 = 70,059.75 : x
  2. Step 2: Convert to fraction form
    34,075.13/70,059.75 = 70,059.75/x
  3. Step 3: Cross multiply
    34,075.13x = 70,059.75 × 70,059.75
  4. Step 4: Simplify right side
    34,075.13x = 4,908,368,570.06
  5. Step 5: Solve for x
    x = 4,908,368,570.06/34,075.13
  6. Step 6: Final answer
    x = 144,045.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.