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Finding the Third Proportional to 58,547 and 127,786

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Solution

The third proportional to 58,547 and 127,786 is: 278,908.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,547 : 127,786 = 127,786 : x
  2. Step 2: Convert to fraction form
    58,547/127,786 = 127,786/x
  3. Step 3: Cross multiply
    58,547x = 127,786 × 127,786
  4. Step 4: Simplify right side
    58,547x = 16,329,261,796
  5. Step 5: Solve for x
    x = 16,329,261,796/58,547
  6. Step 6: Final answer
    x = 278,908.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.