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Finding the Third Proportional to 61,740 and 130,284

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Solution

The third proportional to 61,740 and 130,284 is: 274,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,740 : 130,284 = 130,284 : x
  2. Step 2: Convert to fraction form
    61,740/130,284 = 130,284/x
  3. Step 3: Cross multiply
    61,740x = 130,284 × 130,284
  4. Step 4: Simplify right side
    61,740x = 16,973,920,656
  5. Step 5: Solve for x
    x = 16,973,920,656/61,740
  6. Step 6: Final answer
    x = 274,925.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.