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Finding the Third Proportional to 61,160 and 97,304

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Solution

The third proportional to 61,160 and 97,304 is: 154,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,160 : 97,304 = 97,304 : x
  2. Step 2: Convert to fraction form
    61,160/97,304 = 97,304/x
  3. Step 3: Cross multiply
    61,160x = 97,304 × 97,304
  4. Step 4: Simplify right side
    61,160x = 9,468,068,416
  5. Step 5: Solve for x
    x = 9,468,068,416/61,160
  6. Step 6: Final answer
    x = 154,808.18

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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.