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Finding the Third Proportional to 112,748 and 242,938

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Solution

The third proportional to 112,748 and 242,938 is: 523,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,748 : 242,938 = 242,938 : x
  2. Step 2: Convert to fraction form
    112,748/242,938 = 242,938/x
  3. Step 3: Cross multiply
    112,748x = 242,938 × 242,938
  4. Step 4: Simplify right side
    112,748x = 59,018,871,844
  5. Step 5: Solve for x
    x = 59,018,871,844/112,748
  6. Step 6: Final answer
    x = 523,458.26

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Why These Related Problems?

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