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Finding the Third Proportional to 96,075.56 and 153,482.34

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Solution

The third proportional to 96,075.56 and 153,482.34 is: 245,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,075.56 : 153,482.34 = 153,482.34 : x
  2. Step 2: Convert to fraction form
    96,075.56/153,482.34 = 153,482.34/x
  3. Step 3: Cross multiply
    96,075.56x = 153,482.34 × 153,482.34
  4. Step 4: Simplify right side
    96,075.56x = 23,556,829,842.99
  5. Step 5: Solve for x
    x = 23,556,829,842.99/96,075.56
  6. Step 6: Final answer
    x = 245,190.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.