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Finding the Third Proportional to 64,075.50 and 149,707.13

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Solution

The third proportional to 64,075.50 and 149,707.13 is: 349,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,075.50 : 149,707.13 = 149,707.13 : x
  2. Step 2: Convert to fraction form
    64,075.50/149,707.13 = 149,707.13/x
  3. Step 3: Cross multiply
    64,075.50x = 149,707.13 × 149,707.13
  4. Step 4: Simplify right side
    64,075.50x = 22,412,223,275.77
  5. Step 5: Solve for x
    x = 22,412,223,275.77/64,075.50
  6. Step 6: Final answer
    x = 349,778.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.