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Finding the Third Proportional to 100,088 and 153,460

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Solution

The third proportional to 100,088 and 153,460 is: 235,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,088 : 153,460 = 153,460 : x
  2. Step 2: Convert to fraction form
    100,088/153,460 = 153,460/x
  3. Step 3: Cross multiply
    100,088x = 153,460 × 153,460
  4. Step 4: Simplify right side
    100,088x = 23,549,971,600
  5. Step 5: Solve for x
    x = 23,549,971,600/100,088
  6. Step 6: Final answer
    x = 235,292.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.