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Finding the Third Proportional to 58,030 and 78,297

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Solution

The third proportional to 58,030 and 78,297 is: 105,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,030 : 78,297 = 78,297 : x
  2. Step 2: Convert to fraction form
    58,030/78,297 = 78,297/x
  3. Step 3: Cross multiply
    58,030x = 78,297 × 78,297
  4. Step 4: Simplify right side
    58,030x = 6,130,420,209
  5. Step 5: Solve for x
    x = 6,130,420,209/58,030
  6. Step 6: Final answer
    x = 105,642.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.