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Finding the Third Proportional to 61,154 and 134,335

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Solution

The third proportional to 61,154 and 134,335 is: 295,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,154 : 134,335 = 134,335 : x
  2. Step 2: Convert to fraction form
    61,154/134,335 = 134,335/x
  3. Step 3: Cross multiply
    61,154x = 134,335 × 134,335
  4. Step 4: Simplify right side
    61,154x = 18,045,892,225
  5. Step 5: Solve for x
    x = 18,045,892,225/61,154
  6. Step 6: Final answer
    x = 295,089.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.