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Finding the Third Proportional to 107,547 and 157,518

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Solution

The third proportional to 107,547 and 157,518 is: 230,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,547 : 157,518 = 157,518 : x
  2. Step 2: Convert to fraction form
    107,547/157,518 = 157,518/x
  3. Step 3: Cross multiply
    107,547x = 157,518 × 157,518
  4. Step 4: Simplify right side
    107,547x = 24,811,920,324
  5. Step 5: Solve for x
    x = 24,811,920,324/107,547
  6. Step 6: Final answer
    x = 230,707.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.