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Finding the Third Proportional to 92,402 and 140,547

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Solution

The third proportional to 92,402 and 140,547 is: 213,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,402 : 140,547 = 140,547 : x
  2. Step 2: Convert to fraction form
    92,402/140,547 = 140,547/x
  3. Step 3: Cross multiply
    92,402x = 140,547 × 140,547
  4. Step 4: Simplify right side
    92,402x = 19,753,459,209
  5. Step 5: Solve for x
    x = 19,753,459,209/92,402
  6. Step 6: Final answer
    x = 213,777.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.