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Finding the Third Proportional to 101,358 and 158,998

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Solution

The third proportional to 101,358 and 158,998 is: 249,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,358 : 158,998 = 158,998 : x
  2. Step 2: Convert to fraction form
    101,358/158,998 = 158,998/x
  3. Step 3: Cross multiply
    101,358x = 158,998 × 158,998
  4. Step 4: Simplify right side
    101,358x = 25,280,364,004
  5. Step 5: Solve for x
    x = 25,280,364,004/101,358
  6. Step 6: Final answer
    x = 249,416.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.