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Finding the Third Proportional to 66,526 and 142,276

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Solution

The third proportional to 66,526 and 142,276 is: 304,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,526 : 142,276 = 142,276 : x
  2. Step 2: Convert to fraction form
    66,526/142,276 = 142,276/x
  3. Step 3: Cross multiply
    66,526x = 142,276 × 142,276
  4. Step 4: Simplify right side
    66,526x = 20,242,460,176
  5. Step 5: Solve for x
    x = 20,242,460,176/66,526
  6. Step 6: Final answer
    x = 304,278.93

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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.