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Finding the Third Proportional to 118,075 and 254,726

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Solution

The third proportional to 118,075 and 254,726 is: 549,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,075 : 254,726 = 254,726 : x
  2. Step 2: Convert to fraction form
    118,075/254,726 = 254,726/x
  3. Step 3: Cross multiply
    118,075x = 254,726 × 254,726
  4. Step 4: Simplify right side
    118,075x = 64,885,335,076
  5. Step 5: Solve for x
    x = 64,885,335,076/118,075
  6. Step 6: Final answer
    x = 549,526.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.