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Finding the Third Proportional to 101,688 and 237,546

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Solution

The third proportional to 101,688 and 237,546 is: 554,914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,688 : 237,546 = 237,546 : x
  2. Step 2: Convert to fraction form
    101,688/237,546 = 237,546/x
  3. Step 3: Cross multiply
    101,688x = 237,546 × 237,546
  4. Step 4: Simplify right side
    101,688x = 56,428,102,116
  5. Step 5: Solve for x
    x = 56,428,102,116/101,688
  6. Step 6: Final answer
    x = 554,914.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.