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Finding the Third Proportional to 127,299 and 265,056

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Solution

The third proportional to 127,299 and 265,056 is: 551,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,299 : 265,056 = 265,056 : x
  2. Step 2: Convert to fraction form
    127,299/265,056 = 265,056/x
  3. Step 3: Cross multiply
    127,299x = 265,056 × 265,056
  4. Step 4: Simplify right side
    127,299x = 70,254,683,136
  5. Step 5: Solve for x
    x = 70,254,683,136/127,299
  6. Step 6: Final answer
    x = 551,887.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.