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Finding the Third Proportional to 58,239 and 96,646.50

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Solution

The third proportional to 58,239 and 96,646.50 is: 160,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,239 : 96,646.50 = 96,646.50 : x
  2. Step 2: Convert to fraction form
    58,239/96,646.50 = 96,646.50/x
  3. Step 3: Cross multiply
    58,239x = 96,646.50 × 96,646.50
  4. Step 4: Simplify right side
    58,239x = 9,340,545,962.25
  5. Step 5: Solve for x
    x = 9,340,545,962.25/58,239
  6. Step 6: Final answer
    x = 160,383.01

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.