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Finding the Third Proportional to 102,726 and 144,237

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Solution

The third proportional to 102,726 and 144,237 is: 202,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,726 : 144,237 = 144,237 : x
  2. Step 2: Convert to fraction form
    102,726/144,237 = 144,237/x
  3. Step 3: Cross multiply
    102,726x = 144,237 × 144,237
  4. Step 4: Simplify right side
    102,726x = 20,804,312,169
  5. Step 5: Solve for x
    x = 20,804,312,169/102,726
  6. Step 6: Final answer
    x = 202,522.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.