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Finding the Third Proportional to 112,770 and 242,550

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Solution

The third proportional to 112,770 and 242,550 is: 521,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,770 : 242,550 = 242,550 : x
  2. Step 2: Convert to fraction form
    112,770/242,550 = 242,550/x
  3. Step 3: Cross multiply
    112,770x = 242,550 × 242,550
  4. Step 4: Simplify right side
    112,770x = 58,830,502,500
  5. Step 5: Solve for x
    x = 58,830,502,500/112,770
  6. Step 6: Final answer
    x = 521,685.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.