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Finding the Third Proportional to 56,075.63 and 81,955.13

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Solution

The third proportional to 56,075.63 and 81,955.13 is: 119,778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,075.63 : 81,955.13 = 81,955.13 : x
  2. Step 2: Convert to fraction form
    56,075.63/81,955.13 = 81,955.13/x
  3. Step 3: Cross multiply
    56,075.63x = 81,955.13 × 81,955.13
  4. Step 4: Simplify right side
    56,075.63x = 6,716,642,513.77
  5. Step 5: Solve for x
    x = 6,716,642,513.77/56,075.63
  6. Step 6: Final answer
    x = 119,778.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.