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Finding the Third Proportional to 55,106 and 112,547

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Solution

The third proportional to 55,106 and 112,547 is: 229,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,106 : 112,547 = 112,547 : x
  2. Step 2: Convert to fraction form
    55,106/112,547 = 112,547/x
  3. Step 3: Cross multiply
    55,106x = 112,547 × 112,547
  4. Step 4: Simplify right side
    55,106x = 12,666,827,209
  5. Step 5: Solve for x
    x = 12,666,827,209/55,106
  6. Step 6: Final answer
    x = 229,862.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.