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Finding the Third Proportional to 97,428 and 118,683

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Solution

The third proportional to 97,428 and 118,683 is: 144,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,428 : 118,683 = 118,683 : x
  2. Step 2: Convert to fraction form
    97,428/118,683 = 118,683/x
  3. Step 3: Cross multiply
    97,428x = 118,683 × 118,683
  4. Step 4: Simplify right side
    97,428x = 14,085,654,489
  5. Step 5: Solve for x
    x = 14,085,654,489/97,428
  6. Step 6: Final answer
    x = 144,575.01

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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.