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Finding the Third Proportional to 136,226 and 291,076

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Solution

The third proportional to 136,226 and 291,076 is: 621,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,226 : 291,076 = 291,076 : x
  2. Step 2: Convert to fraction form
    136,226/291,076 = 291,076/x
  3. Step 3: Cross multiply
    136,226x = 291,076 × 291,076
  4. Step 4: Simplify right side
    136,226x = 84,725,237,776
  5. Step 5: Solve for x
    x = 84,725,237,776/136,226
  6. Step 6: Final answer
    x = 621,946.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.