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Finding the Third Proportional to 73,547 and 113,646

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Solution

The third proportional to 73,547 and 113,646 is: 175,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,547 : 113,646 = 113,646 : x
  2. Step 2: Convert to fraction form
    73,547/113,646 = 113,646/x
  3. Step 3: Cross multiply
    73,547x = 113,646 × 113,646
  4. Step 4: Simplify right side
    73,547x = 12,915,413,316
  5. Step 5: Solve for x
    x = 12,915,413,316/73,547
  6. Step 6: Final answer
    x = 175,607.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.