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Finding the Third Proportional to 61,384 and 97,046

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Solution

The third proportional to 61,384 and 97,046 is: 153,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,384 : 97,046 = 97,046 : x
  2. Step 2: Convert to fraction form
    61,384/97,046 = 97,046/x
  3. Step 3: Cross multiply
    61,384x = 97,046 × 97,046
  4. Step 4: Simplify right side
    61,384x = 9,417,926,116
  5. Step 5: Solve for x
    x = 9,417,926,116/61,384
  6. Step 6: Final answer
    x = 153,426.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.