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Finding the Third Proportional to 122,113 and 266,618

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Solution

The third proportional to 122,113 and 266,618 is: 582,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,113 : 266,618 = 266,618 : x
  2. Step 2: Convert to fraction form
    122,113/266,618 = 266,618/x
  3. Step 3: Cross multiply
    122,113x = 266,618 × 266,618
  4. Step 4: Simplify right side
    122,113x = 71,085,157,924
  5. Step 5: Solve for x
    x = 71,085,157,924/122,113
  6. Step 6: Final answer
    x = 582,126.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.