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Finding the Third Proportional to 109,611 and 174,547.13

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Solution

The third proportional to 109,611 and 174,547.13 is: 277,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,611 : 174,547.13 = 174,547.13 : x
  2. Step 2: Convert to fraction form
    109,611/174,547.13 = 174,547.13/x
  3. Step 3: Cross multiply
    109,611x = 174,547.13 × 174,547.13
  4. Step 4: Simplify right side
    109,611x = 30,466,698,845.77
  5. Step 5: Solve for x
    x = 30,466,698,845.77/109,611
  6. Step 6: Final answer
    x = 277,952.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.