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Finding the Third Proportional to 97,426 and 118,681

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Solution

The third proportional to 97,426 and 118,681 is: 144,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,426 : 118,681 = 118,681 : x
  2. Step 2: Convert to fraction form
    97,426/118,681 = 118,681/x
  3. Step 3: Cross multiply
    97,426x = 118,681 × 118,681
  4. Step 4: Simplify right side
    97,426x = 14,085,179,761
  5. Step 5: Solve for x
    x = 14,085,179,761/97,426
  6. Step 6: Final answer
    x = 144,573.11

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.