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Finding the Third Proportional to 55,442 and 84,547

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Solution

The third proportional to 55,442 and 84,547 is: 128,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,442 : 84,547 = 84,547 : x
  2. Step 2: Convert to fraction form
    55,442/84,547 = 84,547/x
  3. Step 3: Cross multiply
    55,442x = 84,547 × 84,547
  4. Step 4: Simplify right side
    55,442x = 7,148,195,209
  5. Step 5: Solve for x
    x = 7,148,195,209/55,442
  6. Step 6: Final answer
    x = 128,931.05

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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.