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Finding the Third Proportional to 70,075.13 and 96,045.75

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Solution

The third proportional to 70,075.13 and 96,045.75 is: 131,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,075.13 : 96,045.75 = 96,045.75 : x
  2. Step 2: Convert to fraction form
    70,075.13/96,045.75 = 96,045.75/x
  3. Step 3: Cross multiply
    70,075.13x = 96,045.75 × 96,045.75
  4. Step 4: Simplify right side
    70,075.13x = 9,224,786,093.06
  5. Step 5: Solve for x
    x = 9,224,786,093.06/70,075.13
  6. Step 6: Final answer
    x = 131,641.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.